Tutorials › CAS Exam 8 - Advanced Ratemaking › Ratemaking Model Risk Inventory and Tiering

CAS Exam 8 · Data and Model Governance · Tutorial 954 of 989

Ratemaking Model Risk Inventory and Tiering

Build a practical model inventory and apply a transparent risk-tiering framework to determine the governance controls each ratemaking model needs.

Intermediate 11 min read

What You'll Learn

  • Define the inventory unit and distinguish a model from its data, implementation, and uses
  • Record the fields needed to identify, trace, and govern each ratemaking model
  • Score materiality, complexity, uncertainty, and reliance on a consistent scale
  • Calculate a weighted risk score and apply tier thresholds and escalation rules
  • Map risk tiers to proportionate review, documentation, and monitoring controls
  • Identify common scoring errors, including ignoring production reliance

Why Inventory and Tiering Matter

An organization cannot govern ratemaking models consistently if it does not know which models are in use, what decisions they influence, and who is accountable for them. A model inventory makes that information findable. Risk tiering then helps direct review and control effort toward models whose errors could have greater consequences or whose methods are harder to assess.

A tier is a governance classification, not a statement that a model is correct, incorrect, or a particular probability of failure. The scoring framework below is an illustrative internal policy. An organization should document its own definitions, weights, thresholds, and escalation rules and apply them consistently. These governance practices are aligned with the CAS Exam 8 (Advanced Ratemaking) syllabus.

Definition: A ratemaking model inventory is a controlled record of the models and model-like tools used to support ratemaking decisions. A risk tier is a classification assigned under documented criteria to determine the level of governance applied to a model and its use. Tiering evaluates the model in its actual decision context, not merely the sophistication of its mathematics.

Define What Belongs in the Inventory

The inventory should cover more than a fitted statistical model. It can include a GLM, a spreadsheet that transforms experience into a rate indication, an algorithm that converts indications into rating factors, or a tool that supplies an assumption used in pricing. A simple tool may still be important if it has substantial influence on production rates. Conversely, a technically complex model used only for exploratory analysis may have limited direct reliance.

Set the inventory unit clearly. It may be a model, a model version, or a model-and-use combination. If one model supports materially different decisions, record those uses separately or explain how their differing risks are reflected in one tier. Record dependencies as well: a downstream tool may rely on an upstream model's output, and both uses need to be visible. Do not count a model twice simply because several teams use it; link the uses to the same inventory record where appropriate.

Useful inventory fields include a unique identifier, name and purpose, owner, business use, lines and jurisdictions, status, model type, input and output descriptions, upstream and downstream dependencies, implementation location, version, last review date, current tier, scoring rationale, and required controls. Link to the relevant model documentation, assumption register, validation evidence, and change history where those records exist. Earlier material on data lineage and version control is useful for tracing inputs and identifying the version in force.

Score Risk Using Four Dimensions

A practical framework scores four dimensions on a scale from 1 (low) to 4 (high). The scale definitions should be written down before scoring begins. Assess each dimension using evidence about the model's intended and actual use; do not treat the score as a substitute for a reasoned explanation.

DimensionQuestion to assessExamples of higher scores
MaterialityHow consequential could an error be for rates, customers, financial results, or regulatory decisions?Broad rate impact, many policies affected, or a significant decision depends on the output
ComplexityHow difficult is the method, implementation, or dependency structure to understand and verify?Many transformations, intricate interactions, or multiple linked components
UncertaintyHow much uncertainty affects data, assumptions, estimation, or the model's applicability?Limited relevant experience, unstable assumptions, or substantial extrapolation
RelianceHow directly and extensively does a decision or production process depend on the output?Automated production use with little independent override or corroboration

For an illustrative scoring policy, assign the following weights: materiality 35%, complexity 20%, uncertainty 25%, and reliance 20%. Let \(M,C,U,R\) denote the four scores. Calculate the weighted score as follows.

$$ S=0.35M+0.20C+0.25U+0.20R $$

The weights sum to 1, so \(S\) is a weighted average on the same 1-to-4 scale. For this illustrative policy, Tier 1 applies when \(S\geq 3.25\), Tier 2 when \(2.50\leq S<3.25\), and Tier 3 when \(S<2.50\). An organization may instead use different thresholds, but it should specify them in advance and explain any changes.

Important limitation: The weighted score is a prioritization tool, not an actuarial estimate of expected loss, a probability of model error, or proof that a low-tier model is safe. A documented override may be appropriate when a specific consequence is not adequately represented by the aggregate score. Define override triggers in policy, record the reason, and identify who approved the decision.

Why the Weighted Score Works

The score is a transparent combination of the four assessed dimensions. Because the weights sum to 1, if all four scores equal \(k\), then the aggregate is also \(k\). For example, substituting \(M=C=U=R=k\) gives \(S=(0.35+0.20+0.25+0.20)k=k\). Increasing one dimension by one point increases \(S\) by that dimension's weight, holding the other scores fixed. Thus a one-point increase in materiality changes the score by 0.35, while a one-point increase in complexity changes it by 0.20. This makes the framework's priorities explicit and reproducible.

This justification does not establish that the weights are universally correct. They are policy choices. The useful properties are that the weights and thresholds are visible, the same rule can be applied consistently, and the resulting tier can be traced back to its inputs.

Worked Applications

Worked Example: Tiering a Production Rating Model

A hypothetical insurer uses a territorial GLM to produce renewal rating factors across a large personal-lines book. The output flows into the production rating algorithm. The model team assigns materiality \(M=4\), complexity \(C=3\), uncertainty \(U=3\), and reliance \(R=4\). Apply the illustrative scoring policy and determine the tier.

Method and scoring rationale. The broad production use supports materiality 4 and reliance 4. The model's interactions and data transformations support complexity 3; the team assigns uncertainty 3 based on the assumptions and limitations documented for this hypothetical use.

Calculate the weighted score.

$$ S=0.35(4)+0.20(3)+0.25(3)+0.20(4) =1.40+0.60+0.75+0.80=3.55 $$

Since \(3.55\geq 3.25\), the model is Tier 1. The result is consistent with its direct production reliance and material impact. Under the illustrative control mapping below, it requires documented ownership and scope, independent review before use, annual independent review, quarterly monitoring, and controlled version and change records. The common mistake to avoid is calling a model low risk because its method is familiar: the production use and potential consequences also determine risk.

Check. The weights total \(0.35+0.20+0.25+0.20=1.00\), and the weighted contributions sum to 3.55. The score lies within the possible range of 1 to 4.

Worked Example: A Workbook That Influences Filed Rates

A hypothetical regional pricing team uses a spreadsheet to apply a selected trend to indicated loss costs before preparing a filing. The workbook does not calculate the underlying GLM, but its output influences the filing indication. The team assigns \(M=3\), \(C=2\), \(U=2\), and \(R=4\). Determine the tier.

Method and scoring rationale. The workbook has a meaningful effect on a regional filing, so materiality is 3. Its arithmetic is relatively simple, so complexity is 2. The team assesses uncertainty as 2 for this scenario, while direct reliance on the workbook's output supports reliance 4.

Calculate the score.

$$ S=0.35(3)+0.20(2)+0.25(2)+0.20(4) =1.05+0.40+0.50+0.80=2.75 $$

Since \(2.50\leq 2.75<3.25\), the workbook is Tier 2. Its simplicity does not make it irrelevant: the high reliance score contributes 0.80 to the total. Under the illustrative mapping, the workbook requires a named owner, documented purpose and assumptions, independent review before use or material change, and semiannual monitoring.

Check. The score is 2.75, within the Tier 2 interval. The common mistake to avoid is omitting the workbook because it is not a fitted model; inventory scope follows its role in the ratemaking decision.

Worked Example: A Complex Tool Used Only for Exploration

A hypothetical actuarial team uses a complex, internally developed model to explore alternative segmentation during analysis. The tool's output is not transferred to production or used directly to set rates; a separate approved process determines any eventual rating factors. For this stated use, assign \(M=1\), \(C=4\), \(U=3\), and \(R=1\). Calculate the tier.

Method and scoring rationale. The team assesses the direct materiality and reliance of this exploratory use as 1. The model is technically complex, so complexity is 4, and the team assigns uncertainty 3. These are scores for the specified use, not necessarily scores that would apply if the model were later used in production.

Calculate the score.

$$ S=0.35(1)+0.20(4)+0.25(3)+0.20(1) =0.35+0.80+0.75+0.20=2.10 $$

Since \(2.10<2.50\), the model is Tier 3 under the stated policy. Its complexity still calls for clear documentation and a competent owner review; a lower tier is not an exemption from controls. If the model's use changes so that its outputs directly determine production factors, the organization should reassess the inventory record and scores before relying on that changed use.

Check. The contributions sum to 2.10, within the 1-to-4 scale. The common mistake to avoid is assigning a tier from complexity alone while ignoring the limited reliance and direct materiality of this particular use.

Map Tiers to Controls

Tiering is useful only if it changes governance in a predictable way. The table gives one illustrative mapping. These are internal control examples, not universal regulatory requirements. An organization should align its requirements with its own policy and applicable obligations.

TierIllustrative review and control requirements
Tier 1Named accountable owner; complete model documentation; independent review before use; annual independent review; quarterly monitoring; controlled versions and changes; documented approval to use outputs.
Tier 2Named owner and documented purpose; independent review before use or material change; annual owner review; semiannual monitoring; maintained version and assumption records.
Tier 3Identified owner and use; proportionate documentation; owner check before use; periodic review, such as every two years under the illustrative policy; reassessment if use or impact changes.

Controls should be specific enough that a reviewer can tell what is required and whether it happened. For example, “review model” is less useful than a requirement naming the reviewer, review timing, evidence to retain, and approval condition. Keep the inventory tier and its rationale current when the model's use, dependencies, implementation, assumptions, or impact changes. Findings and open issues can inform reassessment, but tiering should not replace the separate tracking and resolution of those findings.

Common Scoring Errors

  • Ignoring reliance. A simple spreadsheet can have high risk when production decisions depend directly on it.
  • Scoring only technical complexity. A sophisticated exploratory model may have limited direct influence, while a simple model may affect many rates.
  • Dropping a dimension without recalibrating the policy. Every required dimension should be scored; do not silently omit an inconvenient score.
  • Treating the numeric score as objective truth. Scores require documented judgment, consistent anchors, and an escalation route for exceptions.
  • Failing to reassess changed use. A model's tier can change when it moves from exploration into production or becomes a more direct input to a decision.
Common mistake—wrong calculation: For the workbook in Worked Example 2, omitting reliance and renormalizing the remaining weights gives \((1.05+0.40+0.50)/0.80=2.4375\), which would incorrectly place it in Tier 3. The specified policy includes reliance, so the correct calculation is \(2.75\), Tier 2. Do not change the dimensions or weights during an individual assessment.
1
Set the inventory boundary.
Identify each model and its decision use, including relevant tools and dependencies.
2
Record evidence and owners.
Document the purpose, inputs, outputs, implementation, dependencies, status, and accountable owner.
3
Score consistently.
Assign each dimension using the documented scale, calculate the weighted score, and record the rationale.
4
Assign controls and reassess.
Apply the tier's review and monitoring requirements; revisit the assessment when model use or impact changes.

Check Your Understanding

Use the illustrative weights and thresholds in this tutorial unless a problem states otherwise.

  1. A hypothetical rating tool receives \(M=2\), \(C=2\), \(U=2\), and \(R=2\). Calculate its score and tier. (Answer: \(S=2.00\), Tier 3.)
  2. A production model has scores \(M=4\), \(C=2\), \(U=3\), and \(R=3\). Calculate the weighted score and tier. (Answer: \(S=1.40+0.40+0.75+0.60=3.15\), Tier 2.)
  3. A hypothetical model used for limited exploratory work has scores \(M=1\), \(C=4\), \(U=2\), and \(R=1\). Calculate the score and tier. (Answer: \(S=0.35+0.80+0.50+0.20=1.85\), Tier 3.)
  4. A workbook used directly in a regional rate indication has scores \(M=3\), \(C=2\), \(U=4\), and \(R=4\). Calculate the score and state the tier. (Answer: \(S=1.05+0.40+1.00+0.80=3.25\), Tier 1.)
  5. A model is currently exploratory, but its output is proposed for direct use in production rating factors. What inventory action is required before that use? (Answer: Reassess and update the model-and-use record, including reliance and materiality scores, then apply the controls required by the resulting tier before relying on the output.)
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